Toric Codes from Order Polytopes
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Publication:6360024
DOI10.1007/S00454-021-00329-WarXiv2102.03651MaRDI QIDQ6360024
Takayuki Hibi, Mahir Bilen Can
Publication date: 6 February 2021
Abstract: In this article we investigate a class of linear error correcting codes in relation with the order polytopes. In particular we consider the order polytopes of tree posets and bipartite posets. We calculate the parameters of the associated toric variety codes.
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Combinatorics of partially ordered sets (06A07) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
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